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The inventor of the chess board suggeste...

The inventor of the chess board suggested a reward of one grain of wheat for the first square, 2 grains for the second, 4 grains for the third and so on, doubling the number of the grains for subsequent squares. How many grains would have to be given to inventor? (There are 64 square in the chess board).

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The inventor of the chess board suggested a reward of one grain of wheat for the first square, 2 grains for the second, 4 grains for the third and so on, doubling the amount of the grains for subsequent squares. How many grains would have to be given to the inventor? (There are 64 squares in the chess board).

Three squares of Chess board are selected at random. Find the probability of getting 2 squares of one colour and other of a different colour.

How many number of pollen grains form after 2 meiotic divisions?

Find the number of ways in which we can choose 3 squares on a chess board such that one of the squares has its two sides common to other two squares.

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees’ pollen grains per square centimeter that were deposited each year within layers of a lake’s sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?

A chess board contains 64 equal squares and the area of each square is 6. 25\ c m^2 . A border round the board is 2 cm wide. Find the length of the side of the chess board.

A chess board contains 64 equal squares and the area of each square is 6. 25\ c m^2 . A border round the board is 2 cm wide. Find the length of the side of the chess board.

A corn cob (see in figure), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20cm. If each 1\ c m^2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob?

A corn cob (see in figure), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20cm. If each 1\ c m^2 of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob?

A flower of tomato plant following the process of sexual reproduction produces 200 viable seeds. Answer the following question giving reasons: (a) What would have been the minimum number of ovules present per-pollinated pistil ? (b) How many microspore mother cells would minimally be required to produce requisite number of pollen grains ? (c) How many pollen grains must have minimally pollinated the carpel ? (d) How many male gametes would have used to produce these 200 viable seeds ? How many megaspore mother cells were required in this process?

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

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  2. Use geometric series to express 0. 555... = bar0.5 as a rational numb...

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  3. The inventor of the chess board suggested a reward of one grain of whe...

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  4. The sum of an infinite geometric series is 15 and the sum of the sq...

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  5. Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3...

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  6. Find the sum of the following series to infinity: 1+2//5+3//5^2\ +2//5...

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  7. Find the sum of the following series to infinity: 1/3+1/(5^2)+1/(3^3)+...

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  8. Find the sum of the following series to infinity: 8+4sqrt(2)+4+ddotoo

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  9. Find the sum of the following series to infinity: 10-9+8. 1-7. 29+oo

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  10. Find the value of 9^(1/3). 9^(1/9). 9^(1/27)...up to oo.

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  11. Prove that: 2^(1/4).4^(1/8), 8^(1/16). 16^(1/32)......... oo=2.

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  12. Find the sum off the terms of an infinite decreasing G.P. in which all...

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  13. (b). Express the recurring decimal 0.125125125 ... as a rational numbe...

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  14. Find the rational numbers having the following decimal expansion:\ 0. ...

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  15. Find the rational numbers having the following decimal expansion: 3. 5...

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  16. Find the rational numbers having the following decimal expansion: \ 0....

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  17. Find an infinite G.P. whose first term is 1 and each term is the sum o...

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  18. Show that in an infinite G.P. with common ratio r(|r|<1) , each term b...

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  19. Three numbers whose sum is 15 are in A.P. If they are added by 1,4 and...

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  20. If a ,b ,c ,d are in G.P, then (b-c)^2+(c-a)^2+(d-b)^2 is equal to (a-...

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